In the course of my research I needed to demonstrate that some experimental data is chaotic. This post is an example of how I reconstruct phase space from 1-D experimental data by the method of delays, plot the underlying attractor, and estimate the maximal Lyapunov exponent (characterizing the divergence of the system).

On Monday evening I had dinner with a friend who showed me the game Capitals and suggested it might be interesting to play it programmatically. tl;dr: I spent the last 18-20 working hours doing that (Github link)

(tl;dr: see PDF here). For a top-secret joke project I am learning to program in LaTeX as if it were a general-purpose language. LaTeX is my favourite way to write scientific papers, but no one should use it for programmatic logic. Along the way I have implemented a Sieve ...

The ubiquitous inverse-square laws in physics are a necessary consequence of the three-dimensional nature of space. Barrow shows that Kant was the first to recognize the geometrical connection, although he got it backwards. I explain the geometrical reason for inverse-square laws and follow Kant's argument. Thanks, Kant. Thant.